Solve sin(35^circ+50^circ/2)/sin(25^circ)

$$\frac{ \sin ( \frac{ 35 ^ { \circ } +50 ^ { \circ } }{ 2 } ) }{ \sin ( 25 ^ { \circ } ) }$$

Evaluate

$$\frac{16889755190391505}{10565456543517486}\approx 1.598582619$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.6755902076156602}{0.42261826174069944}$$

Expand \frac{0.6755902076156602}{0.42261826174069944} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{67559020761566020}{42261826174069944}$$

Reduce the fraction \frac{67559020761566020}{42261826174069944} to lowest terms by extracting and canceling out 4.

$$\frac{16889755190391505}{10565456543517486}$$

Factor

$$\frac{5 \cdot 23 \cdot 394249 \cdot 372524563}{2 \cdot 3 \cdot 13 \cdot 101 \cdot 55843 \cdot 24016159} = 1\frac{6324298646874018}{10565456543517486} = 1.5985826188225003$$